CV Lattes
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Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC) (Institutional affiliation for the last research proposal) Birthplace: Rússia
Bachelor of Mathematics and Applied Mathematics at the Novosibirsk State University/Russia/USSR (1978), Master Degree in Mathematics and Applied Mathematics at the Novosibirsk State University/Russia/USSR (1980), and Ph. D. in Algebra (Ring Theory) at the Institute of Mathematics of Academy of Sciences of Byelorussia (1987). Currently an associated professor at the University of São Paulo (ICMC-USP São Carlos). Has experience in Mathematics with emphasis in Algebra, Topology, and Geometry. Acts recently in Algebraic Geometry and Hyperbolic Geometry. (Source: Lattes Curriculum)
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A main theme in modern mathematical research is the search for new relations between algebraic geometry, hyperbolic geometry, and dynamics. The research proposal has four research lines in such a context: the construction of smooth quotients (including the compact ones) of the holomorphic 2-ball; the study of representations of surface groups into germs of conformal diffeomorphisms; the s…
The general theme of the project, the study of geometric structures on the absolute, consists of two parts: the research one, planned for the Scientific Initiation and as a possible Master Degree theme, and the background one intended for the Scientific Initiation. The explicit research problem: understand if the fibrewise pseudo-hermitian structure of every stratum of the grassmannian ab…
Transcendental methods of algebraic/complex geometry are becoming more and more efficient in hyperbolic geometry (see, for instance, the recent scientific events dedicated to such interplay: "Algebraic geometry and hyperbolic geometry - new connections", "Hyperbolicity 2015", "Hyperbolic geometry and dynamics", "Monge-Ampere equation and Calabi-Yau manifolds"). The goal of the project is …
The main goal of the project is the construction of new manifolds endowed with the geometry of the holomorphic 2-ball. There are few known examples of such manifolds and developments in this direction are typically noteworthy. The project is planned for 2-3 years, but we expect some developments to take place already in the first year. In spite of being young, the student has a considerab…
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The main objective of this project is the construction of 4-hyperbolic manifolds, including compact complex hyperbolic manifolds. Nowadays, such a construction constitutes a fundamental area of geometry to which we have already given a few significant contributions (see item 2 of the project). The project includes an intense scientific collaboration with Misha Verbitsky. By participating …
| 1 / 1 | Completed research grants |
| 8 / 5 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 10 / 7 | All research grants and scholarships |
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